As for BKPs, I have a few and I like them. I think it's probably true that in general they tend to have very good definition, which also makes them seem less forgiving than some others. But taking them for what they are, they sound good to me.
Haven't owned enough of them to comment on consistency. Still, I've noticed no flaws in the build quality.
I've got the Rebel Yell set, the Holy Diver set, and the Polymath set. I'd say the descriptions of each on the BKP site are pretty accurate.
Love the Rebel Yells in an Explorer, they really gave this full-sounding axe a new clarity and extra sparkle. People are all about the RY bridge - which is great - but I feel the neck pickup in this set is an underappreciated gem.
Holy Divers in a superStrat. Another good match for the guitar. IMO the Holy Diver bridge is like a more civilized JB. Tighter in the lows at gain than the JB and it cleans up far better. Yet it has similarly effortless harmonics & classic-80s-album tone. Cuts through a mix like the JB does, too.
The Polymaths are my latest so I'm still sorta honeymooning. These are in a 20th Anniversary PRS and IMO they're downright amazing. Somehow paradoxically they manage to balance a tight, fast attack with a nice elasticity in the fingertouch. Sweet rich low mids and no nasality in the upper mids. Very touch-responsive feel for a medium-output set. And a beautiful, singing lead voice, even up the neck on the higher strings. Great set.
I haven't owned any from BKP's vintage-output line, which I know many really like about this brand.
Nor any of the crushing high-output models either.
But I certainly do like the ones I've got.